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Finding the Fourth Proportional to 69,820.38, 96,359.22 and 41,148.95

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Solution

The fourth proportional to 69,820.38, 96,359.22 and 41,148.95 is: 56,789.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,820.38 : 96,359.22 = 41,148.95 : x
  2. Step 2: Convert to fraction form
    69,820.38/96,359.22 = 41,148.95/x
  3. Step 3: Cross multiply
    69,820.38x = 96,359.22 × 41,148.95
  4. Step 4: Simplify right side
    69,820.38x = 3,965,080,244.02
  5. Step 5: Solve for x
    x = 3,965,080,244.02/69,820.38
  6. Step 6: Final answer
    x = 56,789.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.